1608319680 has 448 divisors, whose sum is σ = 6109655040. Its totient is φ = 355123200.

The previous prime is 1608319679. The next prime is 1608319681. The reversal of 1608319680 is 869138061.

It is an interprime number because it is at equal distance from previous prime (1608319679) and next prime (1608319681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608319681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51881265 + ... + 51881295.

Almost surely, 2^1608319680 is an apocalyptic number.

1608319680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054827520).

1608319680 is an abundant number, since it is smaller than the sum of its proper divisors (4501335360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1608319680 is a wasteful number, since it uses less digits than its factorization.

1608319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1608319680 is about 40103.8611607411. The cubic root of 1608319680 is about 1171.6308326427.

The spelling of 1608319680 in words is "one billion, six hundred eight million, three hundred nineteen thousand, six hundred eighty".